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Higgs mechanism and the added-mass effect.

Govind S Krishnaswami1, Sachin S Phatak1

  • 1Chennai Mathematical Institute , SIPCOT IT Park, Siruseri, Tamil Nadu 603103, India.

Proceedings. Mathematical, Physical, and Engineering Sciences
|August 23, 2016
PubMed
Summary

We found a physical analogy between the Higgs mechanism and fluid dynamics. This connection allows us to translate concepts like gauge symmetry breaking into fluid mechanics terms, offering new research perspectives.

Keywords:
Higgs mechanismadded-mass effectfluid mechanicsmass generationrigid body dynamicssymmetry breaking

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Area of Science:

  • Theoretical Physics
  • Fluid Dynamics
  • Particle Physics

Background:

  • The Higgs mechanism explains weak force carrier masses via Higgs condensate interactions.
  • Accelerated rigid bodies in ideal fluids experience an added-mass tensor effect.
  • Both phenomena involve mass generation and symmetry considerations.

Purpose of the Study:

  • To establish a physical analogy between the Higgs mechanism and fluid dynamics.
  • To propose a dictionary for translating concepts between these two fields.
  • To explore new theoretical viewpoints and research questions.

Main Methods:

  • Identifying a correspondence between gauge Lie algebra and body motion directions.
  • Relating gauge symmetry breaking patterns to body shapes.
  • Connecting scalar vacuum manifold symmetries to body symmetries.

Main Results:

  • A dictionary is proposed, linking Higgs mechanism components to fluid dynamics counterparts.
  • The analogy provides a new framework for understanding mass acquisition and symmetry breaking.
  • Examples illustrate the translation of concepts like gauge symmetry breaking and the Higgs particle.

Conclusions:

  • The established analogy offers novel insights into both particle physics and fluid dynamics.
  • This perspective raises questions about fluid analogues of broken symmetry and the Higgs particle.
  • Further research can explore field-theoretic analogues of added mass for composite bodies.